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Display information for equation id:math.2141.21 on revision:2141

* Page found: Polarisation (eq math.2141.21)

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TeX (original user input): 

{{\Phi }_{m}}\left( \bar{r},t \right)=\frac{1}{4\pi {{\varepsilon }_{0}}}\int_{{{R}^{3}}}^{{}}{{}}{{d}^{3}}r\acute{\ }\frac{{{\rho }_{m}}\left( \bar{r}\acute{\ },t-\frac{\left| \bar{r}-\bar{r}\acute{\ } \right|}{c} \right)}{\left| \bar{r}-\bar{r}\acute{\ } \right|}

TeX (checked): 

{{\Phi }_{m}}\left({\bar {r}},t\right)={\frac {1}{4\pi {{\varepsilon }_{0}}}}\int _{{R}^{3}}^{}{}{{d}^{3}}r{\acute {\ }}{\frac {{{\rho }_{m}}\left({\bar {r}}{\acute {\ }},t-{\frac {\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}{c}}\right)}{\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (19.128 KB / 2.562 KB) :

Φ m ⁢ ( r ¯ , t ) = 1 4 ⁢ π ⁢ ε 0 ⁢ ∫ R 3 d 3 ⁢ r ⁢ ´ ⁢ ρ m ⁢ ( r ¯ ⁢ ´ , t - | r ¯ - r ¯ ⁢ ´ | c ) | r ¯ - r ¯ ⁢ ´ | subscript Φ 𝑚 ¯ 𝑟 𝑡 1 4 𝜋 subscript 𝜀 0 subscript superscript 𝑅 3 superscript 𝑑 3 𝑟 ´ absent subscript 𝜌 𝑚 ¯ 𝑟 ´ absent 𝑡 ¯ 𝑟 ¯ 𝑟 ´ absent 𝑐 ¯ 𝑟 ¯ 𝑟 ´ absent {\displaystyle{\displaystyle{{\Phi}_{m}}\left(\bar{r},t\right)=\frac{1}{4\pi{{% \varepsilon}_{0}}}\int_{{{R}^{3}}}{{}}{{d}^{3}}r\acute{\ }\frac{{{\rho}_{m}}% \left(\bar{r}\acute{\ },t-\frac{\left|\bar{r}-\bar{r}\acute{\ }\right|}{c}% \right)}{\left|\bar{r}-\bar{r}\acute{\ }\right|}}}

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MathML (2.992 KB / 479 B) :

Φm(r¯,t)=14πε0∫R3d3r´ρm(r¯´,t−|r¯−r¯´|c)|r¯−r¯´|

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Similar pages

Calculated based on the variables occurring on the entire Polarisation page

Identifiers

  • Φm
  • r¯
  • t
  • π
  • ε0
  • R
  • r
  • ´
  • ρm
  • r¯
  • ´
  • t
  • r¯
  • r¯
  • ´
  • c
  • r¯
  • r¯
  • ´

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